A binomial distribution has 50 trials (n = 50)with a probability of success of 0.50 (π = 0.50). To use the normal distribution to approximate the binomial,what are the mean and standard deviation?
A)µ = 25 and σ = 3.5355
B)µ = 25 and σ = 12.5
C)µ = 25 and σ = 4.33
D)µ = 50 and σ = 100

Question

Quizplus · Accepted Answer

To approximate a binomial distribution using normal distribution, we use the following formulas:

µ = nπ
σ = √(nπ(1-π))

Plugging in the values, we get:
µ = 50 * 0.50 = 25
σ = √(50 * 0.50 * 0.50) = 3.5355

Therefore, the best choice is A.

A Binomial Distribution Has 50 Trials (N = 50)with a Probability